Multifractal Spectrum and Thermodynamical Formalism of the Farey Tree

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dc.creatorLosada, M. Piacquadio
dc.creatorCesaratto, E.
dc.date2000-02-23
dc.date.accessioned2026-07-07T04:27:41Z
dc.date.available2026-07-07T04:27:41Z
dc.descriptionThe task of comparing the Hausdorff spectrum, the computational spectrum, and the Legendre spectrum of a fractal set endowed with a probability measure, was tackled by several authors - Cawley and Mauldin, Riedi and Mandelbrot, among others. For self-similar measures all three spectra coincide. We compare these spectra for the hyperbolic measure (inducing the Farey Tree partition), fundamentally different from the self-similar one.
dc.description35 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0002046
dc.identifierhttp://arxiv.org/abs/math-ph/0002046
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56507
dc.subjectMathematical Physics
dc.subjectProbability
dc.titleMultifractal Spectrum and Thermodynamical Formalism of the Farey Tree
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